In recent years, there has been increasing interest in utilizing concepts and ideas from quantum information to explore quantum phase transitions [1]}. Along the quantum information approach, one of the most popular directions is the ground state fidelity and the associated fidelity susceptibility [2]}, [3]}, [4]}, which is the overlap intensity between two many-body ground states corresponding to the Hamiltonians differing by a small perturbation [5]}. A qualitative change in a many-body ground state at the quantum phase transition point is characterized by an abrupt drop in the ground-state fidelity, accompanied by a sharp peak in the associated fidelity susceptibility, irrespective of the existence of local order parameter [3]}. This particular property of the ground-state fidelity makes it possible to identify topological phase transitions in many-body systems. Besides the ground-state fidelity and the fidelity susceptibility, there are other approaches to characterize topological phase transitions, such as the entanglement entropy in the ground-state of many-body systems [7]}, [8]}, [9]}, [10]}, and the quantum discord of the ground state which is the difference between the quantum analogues of two classically equivalent expressions of mutual information [11]}, [12]}, [13]}, [14]}, [15]}.
